531119680 has 336 divisors, whose sum is σ = 1659965184. Its totient is φ = 158146560.

The previous prime is 531119669. The next prime is 531119681. The reversal of 531119680 is 86911135.

It is a super-2 number, since 2×531119680² = 564176228966604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (531119681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8706850 + ... + 8706910.

Almost surely, 2^531119680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829982592).

531119680 is an abundant number, since it is smaller than the sum of its proper divisors (1128845504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531119680 is a wasteful number, since it uses less digits than its factorization.

531119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 531119680 is about 23046.0339321107. The cubic root of 531119680 is about 809.8367196156.

The spelling of 531119680 in words is "five hundred thirty-one million, one hundred nineteen thousand, six hundred eighty".